To the ferry ports, and around the coast to Linnahall - an enormous Soviet concrete structure. The interior is closed but the exterior is available for clambering all over. There are great views out to the ocean, and little scrappy beaches nearby. It's beautifully dystopian.

The 'culture kilometer' starts here, but I diverged from the path to follow the cost, and saw the abandoned Patarei sea-fortress prison which is also pretty dystopian.

The culture kilometer ends in the Kalamaja district which people keep saying is the hipster area. It's behind the train station, and full of nice wooden houses and cute bars, artisanal stuff and street food.